Rare planet transits. A “planet transit” is a rare celestial event in which a planet appears to cross in front of its star as seen from Earth. The planet transit causes a noticeable dip in the star’s brightness, allowing scientists to detect a new planet even though it is not directly visible. After one year of a mission in which 3,000 stars were monitored, NASA announced that 5 planet transits were detected (NASA, American Astronomical Society, Jan. 4, 2010). Assume that the number of planet transits discovered for every 3,000 stars follows a Poisson distribution with l = 5. What is the probability that, in the next 3,000 stars monitored by the mission, more than 8 planet transits will be seen?